Power to the Matrix

Medium

Pure Math

Given A=[3143]A = \begin{bmatrix} 3 & 1\\ 4 & 3 \end{bmatrix}. Find A10vA^{10}v, where v=[32]v = \begin{bmatrix} 3 \\ 2\end{bmatrix}. The answer is in the form [a⋅bp+cd⋅bp−g] \begin{bmatrix} a \cdot b^{p} + c \\ d \cdot b^{p} - g \end{bmatrix} For integers a,b,c,d,p,ga,b,c,d,p, g. Find bp+a+c+d+gbp + a + c + d + g.

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Related Topics:

Linear Algebra

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Power to the Matrix

Medium

Pure Math

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